Rational intersection cohomology of quotient varieties.
F. Kirwan (1986)
Inventiones mathematicae
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F. Kirwan (1986)
Inventiones mathematicae
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András Némethi, Baldur Sigurdsson (2016)
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Using the path lattice cohomology we provide a conceptual topological characterization of the geometric genus for certain complex normal surface singularities with rational homology sphere links, which is uniformly valid for all superisolated and Newton non-degenerate hypersurface singularities.
Ana Lago, Antonio G. Rodicio (1992)
Inventiones mathematicae
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Marek Golasinksi, D. Lima Goncalves (1997)
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Alexandru Dimca (1986)
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Jacek Brodzki, Graham A. Niblo, Nick J. Wright (2012)
Journal of the European Mathematical Society
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We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.